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Symmetry

Author: György Darvas

Publisher: Springer Science & Business Media

Published: 2007-02-15

Total Pages: 508

ISBN-13: 376437554X

The first comprehensive book on the topic in half a century explores recent symmetry – and symmetry breaking – related discoveries, and discusses the questions and answers they raise in diverse disciplines: particle and high-energy physics, structural chemistry and the biochemistry of proteins, in genetic code study, in brain research, and also in architectural structures, and business decision making, to mention only a few examples.

Timeless Reality

Author: Victor J. Stenger

Publisher: Prometheus Books

Published: 2009-12-02

Total Pages: 396

ISBN-13: 1615922288

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A professor of physics and astronomy studies a theory that time is reversible, and explains how physicists have generally been reluctant to accept the reversibility of time because of the implied causal paradoxes. Illustrations.

Visual Symmetry

Author: Magdolna Hargittai

Publisher: World Scientific

Published: 2009

Total Pages: 220

ISBN-13: 9812835318

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Symmetry is as simple or as complicated as we are ready to absorb it in everything around us. From flowers to bridges, buildings, coke machines, and snowflakes; from molecules to walnuts, fences, pine cones, and sunflowers; from music to children's drawings; from hubcaps to bank logos, propellers, wallpaper decorations, and pavements, we recognize it if we walk around with open eyes and an open mind. This book provides aesthetic pleasure and covert education, immersing the reader in both the familiar and the unknown and leading always to unexpected discoveries. The authors, world-renowned scientists, have already produced a dozen books on symmetry for professionals as well as laypersons, for grownups as well as children, in English, Russian, German, Hungarian, and Swedish languages. They provide this attractive account of symmetry in few words and many ? as many as 650 ? images in full color from the most diverse corners of our globe. An encounter with this book will open up a whole new experience for the reader, who will never look at the world with the same eyes as before.

Symmetry through the Eyes of a Chemist

Author: Magdolna Hargittai

Publisher: Springer Science & Business Media

Published: 2009-02-28

Total Pages: 528

ISBN-13: 1402056281

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It is gratifying to launch the third edition of our book. Its coming to life testi?es about the task it has ful?lled in the service of the com- nity of chemical research and learning. As we noted in the Prefaces to the ?rst and second editions, our book surveys chemistry from the point of view of symmetry. We present many examples from ch- istry as well as from other ?elds to emphasize the unifying nature of the symmetry concept. Our aim has been to provide aesthetic pl- sure in addition to learning experience. In our ?rst Preface we paid tribute to two books in particular from which we learned a great deal; they have in?uenced signi?cantly our approach to the subject matter of our book. They are Weyl’s classic, Symmetry, and Shubnikov and Koptsik’s Symmetry in Science and Art. The structure of our book has not changed. Following the Int- duction (Chapter 1), Chapter 2 presents the simplest symmetries using chemical and non-chemical examples. Molecular geometry is discussed in Chapter 3. The next four chapters present gro- theoretical methods (Chapter 4) and, based on them, discussions of molecular vibrations (Chapter 5), electronic structures (Chapter 6), and chemical reactions (Chapter 7). For the last two chapters we return to a qualitative treatment and introduce space-group sym- tries (Chapter 8), concluding with crystal structures (Chapter 9). For the third edition we have further revised and streamlined our text and renewed the illustrative material.

Electroweak Symmetry Breaking

Author: Wolfgang Kilian

Publisher: Springer Science & Business Media

Published: 2003-09-02

Total Pages: 136

ISBN-13: 9780387400976

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The systematic bottom-up approach provides the appropriate framework for interpreting measurements that will be performed to better understand the physics of mass generation in the universe. No knowledge of quantum field theory is required other than familiarity with effective Lagrangians and Feynmann diagrams.

Symplectic Geometry And Mirror Symmetry - Proceedings Of The 4th Kias Annual International Conference

Author: Kenji Fukaya

Publisher: World Scientific

Published: 2001-11-19

Total Pages: 510

ISBN-13: 9814490407

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In 1993, M Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry. Mirror symmetry had been discovered by physicists in string theory as a duality between families of three-dimensional Calabi-Yau manifolds. Kontsevich's proposal uses Fukaya's construction of the A∞-category of Lagrangian submanifolds on the symplectic side and the derived category of coherent sheaves on the complex side. The theory of mirror symmetry was further enhanced by physicists in the language of D-branes and also by Strominger-Yau-Zaslow in the geometric set-up of (special) Lagrangian torus fibrations. It rapidly expanded its scope across from geometry, topology, algebra to physics.In this volume, leading experts in the field explore recent developments in relation to homological mirror symmetry, Floer theory, D-branes and Gromov-Witten invariants. Kontsevich-Soibelman describe their solution to the mirror conjecture on the abelian variety based on the deformation theory of A∞-categories, and Ohta describes recent work on the Lagrangian intersection Floer theory by Fukaya-Oh-Ohta-Ono which takes an important step towards a rigorous construction of the A∞-category. There follow a number of contributions on the homological mirror symmetry, D-branes and the Gromov-Witten invariants, e.g. Getzler shows how the Toda conjecture follows from recent work of Givental, Okounkov and Pandharipande. This volume provides a timely presentation of the important developments of recent years in this rapidly growing field.

Symmetry Comes of Age

Author: Dorothy Koster Washburn

Publisher: University of Washington Press

Published: 2004

Total Pages: 396

ISBN-13: 9780295983660

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The two volumes together offer readers a new window into the communicative importance of design."--Jacket.

Computational Symmetry in Computer Vision and Computer Graphics

Author: Yanxi Liu

Publisher: Now Publishers Inc

Published: 2010

Total Pages: 209

ISBN-13: 1601983646

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In the arts and sciences, as well as in our daily lives, symmetry has made a profound and lasting impact. Likewise, a computational treatment of symmetry and group theory (the ultimate mathematical formalization of symmetry) has the potential to play an important role in computational sciences. Though the term Computational Symmetry was formally defined a decade ago by the first author, referring to algorithmic treatment of symmetries, seeking symmetry from digital data has been attempted for over four decades. Computational symmetry on real world data turns out to be challenging enough that, after decades of effort, a fully automated symmetry-savvy system remains elusive for real world applications. The recent resurging interests in computational symmetry for computer vision and computer graphics applications have shown promising results. Recognizing the fundamental relevance and potential power that computational symmetry affords, we offer this survey to the computer vision and computer graphics communities. This survey provides a succinct summary of the relevant mathematical theory, a historic perspective of some important symmetry-related ideas, a partial yet timely report on the state of the arts symmetry detection algorithms along with its first quantitative benchmark, a diverse set of real world applications, suggestions for future directions and a comprehensive reference list.

The Symmetry Perspective

Author: Martin Golubitsky

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 338

ISBN-13: 3034881673

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The framework of ‘symmetry’ provides an important route between the abstract theory and experimental observations. The book applies symmetry methods to dynamical systems, focusing on bifurcation and chaos theory. Its exposition is organized around a wide variety of relevant applications. From the reviews: "[The] rich collection of examples makes the book...extremely useful for motivation and for spreading the ideas to a large Community."--MATHEMATICAL REVIEWS

Elements of Molecular Symmetry

Author: Yngve Öhrn

Publisher: John Wiley & Sons

Published: 2000-01-24

Total Pages: 308

ISBN-13: 9780471363231

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A unique, much-needed introduction to molecular symmetry and group theory Elements of Molecular Symmetry takes the topic of group theory a step further than most books, presenting a quantum chemistry treatment useful for computational, quantum, physical, and inorganic chemists alike. Clearly explaining how general groups and group algebra describe molecules, Yngve Öhrn first develops the theory, then provides coverage not only for point groups, but also permutation groups, space groups, and Lie groups. With over three decades of teaching experience, Dr. Öhrn brings to the discussion unprecedented depth and clarity, incorporating rigorous topics at a level accessible to anyone with basic knowledge of calculus and algebra. This unique and timely book: * Extends coverage to molecular orbital theory, * Utilizes powerful examples to illustrate basic concepts * Contains introductory material on space groups and continuous groups, including point-group character tables * Provides a solid background for exploring the theoretical literature